2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 71-80.

Title: Asymptotic behavior of a non-Newtonian flow with stick-slip condition

Authors: Fouad Boughanim (E.N.S.A.M, Meknes, Morocco)
         Mahdi Boukrouche (CNRS-UMR, St-Etienne, France)
	 Hassan Smaoui (E.N.S.A.M, Meknes, Morocco)
 
Abstract: 
 This paper concerns the asymptotic behavior of  solutions of the
 3D non-newtonian fluid flow with slip condition (Tresca's type)
 imposed in a part of the boundary domain. Existence of at least
 one weak solution is proved. We study the limit when the thickness
 tends to zero and we prove a convergence theorem for velocity
 and pressure in appropriate functional spaces.
 The limit of slip condition is obtained. Besides, the uniqueness
 of the velocity and the pressure limits are also proved.

Published October 15, 2004.
Math Subject Classifications: 35A15, 35B40, 35B45, 76A05, 76D05.
Key Words: Non-newtonian fluid; power law; stick-slip condition; 
asymptotic analysis.